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Finding the Fourth Proportional to 732, 1,009.44 and 534.88

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Solution

The fourth proportional to 732, 1,009.44 and 534.88 is: 737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    732 : 1,009.44 = 534.88 : x
  2. Step 2: Convert to fraction form
    732/1,009.44 = 534.88/x
  3. Step 3: Cross multiply
    732x = 1,009.44 × 534.88
  4. Step 4: Simplify right side
    732x = 539,929.27
  5. Step 5: Solve for x
    x = 539,929.27/732
  6. Step 6: Final answer
    x = 737.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.